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+(* Checking use of eta on Flexible/Rigid and SemiFlexible/Rigid unif problems *)
+
+Set Implicit Arguments.
+Generalizable All Variables.
+
+Record Category {obj : Type} :=
+  {
+    Morphism : obj -> obj -> Type;
+
+    Identity : forall x, Morphism x x;
+    Compose : forall s d d', Morphism d d' -> Morphism s d -> Morphism s d';
+    LeftIdentity : forall a b (f : Morphism a b), Compose (Identity b) f = f
+  }.
+
+
+Section DiscreteAdjoints.
+  Let C := {|
+            Morphism := (fun X Y : Type => X -> Y);
+            Identity := (fun X : Type => (fun x : X => x));
+            Compose := (fun _ _ _ f g => (fun x => f (g x)));
+            LeftIdentity := (fun X Y p => @eq_refl _ p : (fun x : X => p x) = p)
+          |}.
+  Variable ObjectFunctor : C = C.
+
+  Goal True.
+  Proof.
+    subst C.
+    revert ObjectFunctor.
+    intro ObjectFunctor.
+    simpl in ObjectFunctor.
+    revert ObjectFunctor. (* Used to failed in 8.4 up to 16 April 2013 *)